- 分析学教程--第2卷多元函数的微分和积分向量微积分(英文)/国外优秀数学著作原版系列
- - 作者：(英)尼尔斯·雅各布//克里斯蒂安·P.埃文斯|责编:刘家琳
  - 出版社：哈尔滨工业大学
  - ISBN：9787576706123
  - 出版日期：2023/03/01
  - 页数：791
- 售价：47.2

内容大纲
本书的目标是为学生和讲师提供易于理解的资料。本书是为大学二年级以上的学生设计的分析学课程的第二卷，本书包括多元函数的微分、多元函数的积分、矢量微积分三部分，本卷的目的是将一个实变量实值函数的分析扩展到从Rm到Rn的映射。
作者介绍
目录
Preface
Introduction
List of Symbols
Part 3: Differentiation of Functions of Several Variables
  1 Metric Spaces
  2 Convergence and Continuity in Metric Spaces
  3 More on Metric Spaces and Continuous Functions
  4 Continuous Mappings Between Subsets of Euclidean Spaces
  5 Partial Derivatives
  6 The Differential of a Mapping
  7 Curves in Rn
  8 Surfaces in R3. A First Encounter
  9 Taylor Formula and Local Extreme Values
  10 Implicit Functions and the Inverse Mapping Theorem
  11 Further Applications of the Derivatives
  12 Curvilinear Coordinates
  13 Convex Sets and Convex Functions in Rn
  14 Spaces of Continuous Functions as Banach Spaces
  15 Line Integrals
Part 4: Integration of Functions of Several Variables
  16 Towards Volume Integrals in the Sense of Riemann
  17 Parameter Dependent and Iterated Integrals
  18 Volume Integrals on Hyper-Rectangles
  19 Boundaries in Rn and Jordan Measurable Sets
  20 Volume Integrals on Bounded Jordan Measurable Sets
  21 The Transformation Theorem: Result and Applications
  22 Improper Integrals and Parameter Dependent Integrals
Part 5: Vector Calculus
  23 The Scope of Vector Calculus
  24 The Area of a Surface in R3 and Surface Integrals
  25 Gauss' Theorem in R3
  26 Stokes' Theorem in R2 and R3
  27 Gauss’ Theorem for Rn
Appendices
  Appendix I: Vector Spaces and Linear Mappings
  Appendix II: Two Postponed Proofs of Part 3
  Solutions to Problems of Part 3
  Solutions to Problems of Part 4
  Solutions to Problems of Part 5
  References
  Mathematicians Contributing to Analysis (Continued)
  Subject Index
编辑手记

内容大纲

作者介绍

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